question for the definite integral given belo...

question for the definite integral given below, identify the integrand, the limits of integration, and the variable of integration. ∫ - 5.1 5.1 (9t² + t + 7) dt provide your answer below: the integrand is , the lower bound is , the upper bound is , and the variable of integration is . feedback more instruction submit

Answer

# Explanation: ## Step1: Identify the integrand The integrand is the function being integrated. Here, it is $9t^{2}+t + 7$. ## Step2: Identify the lower - bound The lower - bound of integration is the number at the bottom of the integral symbol. So, it is $-5.1$. ## Step3: Identify the upper - bound The upper - bound of integration is the number at the top of the integral symbol. So, it is $5.1$. ## Step4: Identify the variable of integration The variable of integration is the variable next to $d$ in the integral. Here, it is $t$. # Answer: The integrand is $9t^{2}+t + 7$, the lower bound is $-5.1$, the upper bound is $5.1$, and the variable of integration is $t$.